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9. To a memory array with four rows and eight columns a single spare row and two spare columns have been added. The testing of the memory array has identified four defective cells indicated by an x in the diagram below: χ 0 0 0 0 0 0 01 0 0 0 0 0 x 0 0 0 0 000 0 0 0 0 χ 0 0 0 x 0 0 (a) List two different ways to reconfigure the memory array, i.e., which rows and columns will be disconnected and replaced by spares. (b) Show a distribution of four defective cells within the array for which the available spares will not be sufficient. How many such distributions of four defective cells exist? (c) Given that there are four defective cells and that they are randomly distributed over the array, what is the probability of such an irreparable distribution?

9. To a memory array with four rows and eight columns a single spare row and two spare columns have been added. The testing of the memory array has identified four defective cells indicated by an x in the diagram below: χ 0 0 0 0 0 0 01 0 0 0 0 0 x 0 0 0 0 000 0 0 0 0 χ 0 0 0 x 0 0 (a) List two different ways to reconfigure the memory array, i.e., which rows and columns will be disconnected and replaced by spares. (b) Show a distribution of four defective cells within the array for which the available spares will not be sufficient. How many such distributions of four defective cells exist? (c) Given that there are four defective cells and that they are randomly distributed over the array, what is the probability of such an irreparable distribution?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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9. To a memory array with four rows and eight columns a single spare row and two spare columns have been added. The testing of the memory array has identified four defective cells indicated by an x in the diagram below: χ 0 0 0 0 0 0 01 0 0 0 0 0 x 0 0 0 0 000 0 0 0 0 χ 0 0 0 x 0 0 (a) List two different ways to reconfigure the memory array, i.e., which rows and columns will be disconnected and replaced by spares. (b) Show a distribution of four defective cells within the array for which the available spares will not be sufficient. How many such distributions of four defective cells exist? (c) Given that there are four defective cells and that they are randomly distributed over the array, what is the probability of such an irreparable distribution?
Transcribed Image Text:9. To a memory array with four rows and eight columns a single spare row and two spare columns have been added. The testing of the memory array has identified four defective cells indicated by an x in the diagram below: χ 0 0 0 0 0 0 01 0 0 0 0 0 x 0 0 0 0 000 0 0 0 0 χ 0 0 0 x 0 0 (a) List two different ways to reconfigure the memory array, i.e., which rows and columns will be disconnected and replaced by spares. (b) Show a distribution of four defective cells within the array for which the available spares will not be sufficient. How many such distributions of four defective cells exist? (c) Given that there are four defective cells and that they are randomly distributed over the array, what is the probability of such an irreparable distribution?
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